Can someone solve this and show a step to step on guide to answer, thank you!

Answer:

Number of sundaes = 36

Number of banana split = 28

Step-by-step explanation:

On that day, let the number of sundaes sold be x

Now, since they sold 8 more sundaes than banana, the number of bananas sold is x-8

So the cost of sundaes sold will be 2 * x = 2x

the total cost of banana splits sold will be 3(x-8) = 3x -24

The addition of both equals 156

Hence;

2x + 3x-24 = 156

5x -24 = 156

5x = 156 + 24

5x = 180

x = 180/5

x = 36

So

number of sundaes sold is 36 while the number of bananas split sold is 36-8 = 28

Answer:

\(Slope (m) = \frac{y}{x} = \frac{3}{1} =3\)

Step-by-step explanation:

\(Slope (m) = \frac{y}{x} = \frac{3}{1} =3\)

\(0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o\)

X = -4 – -2 = -2

Y = 4 – 10 = -6

\(Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368\)

Equation of the line:

y = 3x + 16

When x=0, y = 16

When y=0, x = -5.3333333333333

Answer:

Mutal fund because its a formerly greatest instruments

The name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.

Investment is traditionally defined as the "commitment of resources to achieve later benefits

A mutual fund is a type of investment vehicle that pools money from multiple investors to invest in a diversified portfolio of stocks, bonds, and other securities.

Mutual funds are managed by professional fund managers who use the pooled funds to purchase a range of investments, with the goal of generating a return for the investors.

Investors in mutual funds own shares in the fund, and the value of their investment is based on the performance of the underlying securities held by the fund.

Mutual funds offer investors the benefits of diversification, professional management, and ease of investment, as well as the ability to invest in a variety of asset classes with relatively low minimum investment requirements.

Hence, the name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.

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The benefit value of the widget on the books of abc is $8

The given parameters are:

Cost price = $5 cash

Selling price = $8 account

The benefit value of the widget is the same as their selling price on account

Hence, the benefit value of the widget is $8

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Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

C.15

Step-by-step explanation:

one box has 5 chocolates so 3*5=15

a. The yield for the Phoenix chip is not provided in the given hypothetical statistics, so we cannot determine it.

b. The Phoenix chip may have a higher defect rate than Blue dragon due to several factors. One possible reason is that the design of Phoenix may be more complex, with a higher density of transistors and interconnects, which can increase the chances of defects. Additionally, Phoenix may be manufactured using a more advanced process technology, such as 7nm or 5nm, which can also increase the defect rate. Another factor could be the materials used in the fabrication process, which can affect the quality and reliability of the chip. Furthermore, the yield and defect rate of a chip are typically inversely proportional, meaning that as the defect rate increases, the yield decreases. This relationship is due to the fact that defects reduce the number of functional chips that can be produced from a given wafer. Therefore, even if Phoenix has a higher defect rate than Blue dragon, its yield may still be acceptable if the defect rate is within the acceptable range and the cost of manufacturing is reasonable.

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Answer:

18 people

Step-by-step explanation:

to find 90% of 20, multiply 90x20 and then divide by 100.

90x20/100=18

Daniela can expect 18 people to attend her party.

A percentage is a number or ratio that represents a fraction of 100.

Given Daniela can expects 90% of the people she invites will attend.

so 90% of the 20 is 18.

Therefore, Daniela can expect 18 people to attend her party.

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The square of given expression √1 ( square root of 1 ) is equal to 1.

As given in the question,

Given expression is equal to √1 ( square root of 1 )

To calculate the square of √1 we have,

Let us consider variable x is equal to √1

x = √1

Now take square on both the sides of the given expression we get,

x² =  (√1 )²

⇒ x² = √1  × √1

Multiplying square root of 1 to square root of 1 is equal to 1 we get,

or use law of exponent :

√1 × √1 = \(1^{\frac{1}{2} + \frac{1}{2} }\)

            = 1

⇒ x² = 1

Therefore, the square of the given expression √1 ( square root of 1 )is equal to 1.

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Answer:

-2x = -60

Isolate x and simplify.

2x = 60

x = 30

Straight vertical line through x=30.

The absolute maximum value occurs at x = -2, where f(x) is 20.

Therefore, the answer is E. -2.

Here, we have,

To find the absolute maximum value of the function f(x) = x³ - 3x² + 12 on the closed interval [-2, 4], we need to evaluate the function at the critical points within the interval and at the endpoints.

Evaluate f(x) at the critical points:

To find the critical points, we take the derivative of f(x) and set it equal to zero:

f'(x) = 3x² - 6x

Setting f'(x) = 0 and solving for x:

3x² - 6x = 0

3x(x - 2) = 0

From this equation, we find two critical points: x = 0 and x = 2.

Evaluate f(x) at x = 0:

f(0) = (0)³ - 3(0)² + 12 = 12

Evaluate f(x) at x = 2:

f(2) = (2)³ - 3(2)² + 12 = 2

Evaluate f(x) at the endpoints of the interval:

Evaluate f(x) at x = -2:

f(-2) = (-2)³ - 3(-2)² + 12 = 20

Evaluate f(x) at x = 4:

f(4) = (4)³ - 3(4)² + 12 = -8

Now, we compare the function values at the critical points and endpoints to determine the absolute maximum value:

f(-2) = 20

f(0) = 12

f(2) = 2

f(4) = -8

The absolute maximum value occurs at x = -2, where f(x) is 20.

Therefore, the answer is E. -2.

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Answer:

Yes.

Step-by-step explanation:

We need to make sure that we match up the right sides before checking for proportionality.

From the picture, we can see that SRT pairs with MLN.

It's easier to see if you draw a diagram of MLN on paper with the same orientation as SRT.

Were you to do this, you would see that as SR lies on the left side of SRT, so does MLN lie on the left side of ML.

Also, both ST of SRT and MN of MLN lie on the right side and RT of SRT and LN of MLN are the base.

Thus, the proportions are

\(\frac{SR}{ML}=\frac{ST}{MN}=\frac{RT}{LN} \\\\\\\frac{3.61}{5.415}=\frac{2}{3} \\\\\frac{9.71}{14.564}=\frac{2}{3}\\ \\ \frac{11.97}{17.955}=\frac{2}{3}\)

Since all the ratios simplify to 2/3 and are equal, the sides are proportional.

Answer:

A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.

A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.

There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct  characteristics.

Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other.

=Mr.Lehmans hourly rate for labor is 20$

=30+40=70-50=20

Answer:

The Answer is 15$

You'd need to get the slope

it tells us how he charges with respect to Time

So picking any Point on the graph. Let's say (0,10) and (2,40)

m(slope) = y2-y1/x2-x1

= 40-10/2-0

=30/2

= 15$

Picking other points would still give this value

Answer:

\(a) ... line \: PT\: is \: congruent \: to \: line \: GH\\ b)... line \: PW\: is \: congruent \: to \: line \: DH\\ c)...line \: TW\: is \: congruent \: to \: line \:DG\)

Answer:

D

Step-by-step explanation:

4C1*5C1*6C1*8C1

=960

Answer:

-2-(-16)=14

Step-by-step explanation:

Use KCC rule

Step-by-step explanation:

3(t-3)=5(2t-1)

= 3t-9=10t-5

= 3t-10t = -5+9

= -7t = 4

= -t = 4/7

= - 4/7 Answer

hope it helps

Answer:

the square of greater side is equal to the sum of two other side in right angled rectangle

Step-by-step explanation:

also known as trigonometry of Pythagoras.

We have obtained the general solution and the qualitative behavior of the given differential equation.

Given differential equation:+2xy = xIf we divide the entire equation by x, we get:+2y = 1/xLet us take integration on both sides of the equation to get a general solution as shown below:∫2y dy = ∫(1/x) dx2y²/2 = ln|x| + C

where C is a constant of integration.

Now, the general solution for the given differential equation is:y² = (ln|x| + C) / 2This is the required general solution for the given differential equation.

To obtain the qualitative behavior, we can take the graph of the given equation.

As we know that there are no negative values of x under the logarithmic function, so we can ignore the negative values of x.

This implies that the domain of the given equation is restricted to x > 0.Using a graphing tool, we can sketch the graph of y² = (ln|x| + C) / 2 as shown below:Graph of the given equation: y² = (ln|x| + C) / 2

The qualitative behavior of the given equation is shown in the graph above. We can observe that the solution curves are symmetric around the y-axis, and they become vertical as they approach the x-axis.

Thus, we have obtained the general solution and the qualitative behavior of the given differential equation.

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The rate of the car is 55 miles per hour.

Let's break down the information given:

- The first car left the house at 10 am and traveled north.

- The second car left the house two hours later, which means it departed at 12 pm, and traveled south.

- Both cars traveled at the same rate.

- At 4 pm, the cars were 550 miles apart.

To solve for the rate of each car, we need to determine the total time each car traveled.

For the first car:

It traveled from 10 am to 4 pm, which is a total of 6 hours.

For the second car:

It traveled from 12 pm to 4 pm, which is a total of 4 hours.

Now, let's calculate the rate of each car using the formula: Rate = Distance / Time.

Let's assume the rate for both cars is represented by "r".

For the first car:

Distance = r * 6 hours.

For the second car:

Distance = r * 4 hours.

The sum of the distances traveled by both cars is equal to the total distance between them:

(r * 6) + (r * 4) = 550 miles.

Simplifying the equation:

10r = 550.

Dividing both sides by 10:

r = 55.

Therefore, the rate of each car is 55 miles per hour.

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Answer:

180÷240 × 100%

75% is answer

\(\dfrac{180}{240}\cdot100\%=\dfrac{3}{4}\cdot100\%=3\cdot25\%=75\%\)

y = x + 2 is the  other equation if its graph has a slope of 1.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

If the y-coordinate of the intersection point of the two equations is 2, and one of the equations is y = 3x + 5,

The other equation must be of the form y = mx + b, where m is the slope of the line and b is the y-intercept.

m=1 is the slope of the other equation.

y = mx + b

2 = 1x + b

b = 2 - 1x

b = 2 - x

So the other equation is y = x + 2.

Hence,  y = x + 2 is the  other equation if its graph has a slope of 1.

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Step-by-step explanation:

hope it's help.

see answer attached

Answer: $29.10

Step-by-step explanation:

1. Make a table, like the one shown in the image. You will need the item, its price, and how many are being bought.

2. Multiply the price and quantity of each item that is being bought.

3. Add all of the products together. This should get you the final price.

My steps are in the image. Hope this helps!

The equation of the line passing through (4, 0) and perpendicular to y = -(4/3) + 1 is 3x - 4y = 12

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of an equation is:

y = mx + b

Where m is the slope and b is the y intercept

Two lines are perpendicular if the product of their slope is -1.

Given the line with equation y = -(4/3)x + 1

The line has a slope of -4/3. The perpendicular line to y = -(4/3)x + 1 would have a slope of 3/4

Hence:

A line with slope of 3/4, passing through (4, 0):

y - 0 = (3/4)(x - 4)

multiplying through by 4:

4y = 3(x - 4)

4y = 3x - 12

3x - 4y = 12

The equation of the line is 3x - 4y = 12

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The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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The area of the sector is evaluated to be equal to 9π square meters

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.

For the area of circle 72π m²;

πr² = 72π m²

r² = 72 m²

hence the area of the sector is calculated as follows:

area of the sector = (45°/360°) × π × 72 m²

we simplify by multiplication and division

area of the sector = 1/8 × π × 72 m²

area of the sector = π × 9 m²

area of the sector = 9π m².

Therefore, the area of the sector is evaluated to be equal to 9π square meters

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